Answer:
5 cm
Step-by-step explanation:
Given the function:
As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.
The vertex form of a quadratic function is:
where (h,k) is the vertex
Our given function have the vertex form as well, so the
(h,k) = (5,25)
At the height of 5 cm the rainfall will produce the maximum number of mosquitoes
Answer:
-1/4
Step-by-step explanation:
Answer:
y = 1/3 x + 4
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. The given line is
y = -3x + 7
which is already in the slope-intercept form, y = mx + b, where m is the slope.
The slope of the given line is -3.
The slope of the perpendicular is the negative reciprocal of -3 which is 1/3.
The line we are looking for has an equation of the form
y = 1/3x + b
We need to find b. We use the x- and y-coordinates of the given point as x and y in the equation above, and we solve for b.
y = 1/3x + b
5 = (1/3)(3) + b
5 = 1 + b
4 = b
Now that we know that b = 4, we replace b with 4 in the equation
y = 1/3x + b to get the answer.
Answer: y = 1/3 x + 4
A ratio is a comparison of two numbers that can be written in multiple ways such as:
Word: There are ___x for every ___ y
Fraction: y/x
Ordered pair: (x,y)
Ratio:x:y
Proportional is a type of relationship where, oh a graph, a line goes through the 0,0 point and when you divide y/x at any point, you will get the same answer.
Hope this helped!
Step-by-step explanation:
Area of base of cube
